2m^2=-7m

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Solution for 2m^2=-7m equation: 


Simplifying
2m2 = -7m

Solving
2m2 = -7m

Solving for variable 'm'.

Reorder the terms:
7m + 2m2 = -7m + 7m

Combine like terms: -7m + 7m = 0
7m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(7 + 2m) = 0


Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m = 0

Subproblem 2
Set the factor '(7 + 2m)' equal to zero and attempt to solve:

Simplifying
7 + 2m = 0

Solving
7 + 2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = 0 + -7
2m = 0 + -7

Combine like terms: 0 + -7 = -7
2m = -7

Divide each side by '2'.
m = -3.5

Simplifying
m = -3.5
Solution
m = {0, -3.5}

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